2010110101101 has 32 divisors (see below), whose sum is σ = 3319067260800. Its totient is φ = 1194864203520.

The previous prime is 2010110101079. The next prime is 2010110101123. The reversal of 2010110101101 is 1011010110102.

It is an interprime number because it is at equal distance from previous prime (2010110101079) and next prime (2010110101123).

It is not a de Polignac number, because 2010110101101 - 2¹⁰ = 2010110100077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010110601101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115236670 + ... + 115254111.

It is an arithmetic number, because the mean of its divisors is an integer number (103720851900).

Almost surely, 2^{2010110101101} is an apocalyptic number.

It is an amenable number.

2010110101101 is a deficient number, since it is larger than the sum of its proper divisors (1308957159699).

2010110101101 is a wasteful number, since it uses less digits than its factorization.

2010110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230490826 (or 230490820 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2010110101101 its reverse (1011010110102), we get a palindrome (3021120211203).

Subtracting from 2010110101101 its reverse (1011010110102), we obtain a palindrome (999099990999).

The spelling of 2010110101101 in words is "two trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred one".